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ACMMM047

recognise the numbers \(\begin{pmatrix}n\\r\end{pmatrix}\) as binomial coefficients, (as coefficients in the expansion of \(\left(x+y\right)^n)\)

ACMMM047 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM131

understand the formula \(\int_a^b{f\left(x\right)dx=F\left(b\right)-F(a)}\) and use it to calculate definite integrals.

ACMMM131 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMSM053

calculate the determinant and inverse of 2x2 matrices and solve matrix equations of the form AX=B , where A is a 2x2 matrix and X and B are column vectors. 

ACMSM053 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum

Elaboration (3) ACLINU068

examining cultural representation in the Indonesian language system, such as the gender-neutral terms (for example, dia, pacar), the omission of personal pronouns, particularly saya (for example, Bisa datang ke rumah?), and the use of cardinal directions, …

Elaboration (3) | ACLINU068 | Content Descriptions | Years 7 and 8 | Years F–10 Sequence | Indonesian | Languages | F-10 curriculum

Elaboration ACLASFU034

exploring similarities and differences in Auslan dialects through building webcam relationships with other schools or through identifying and collecting signs that differ in the ‘northern’ (NSW, Qld and ACT) and ‘southern’ (Vic., SA, WA, NT and Tas.) …

Elaboration | ACLASFU034 | Content Descriptions | Years 3 and 4 | Years F–10 Sequence | First Language Learner Pathway | Auslan | Languages | F-10 curriculum

Elaboration ACMNA296

graphing parabolas, and circles connecting x-intercepts of a graph to a related equation

numeracy

Elaboration | ACMNA296 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum

Elaboration (4) ACSSU175

investigating the effects on humans of exposure to electromagnetic radiations such as X-rays and microwaves

literacy critical-creative

Elaboration (4) | ACSSU175 | Content Descriptions | Year 9 | Science | F-10 curriculum

ACMMM156

recognise the qualitative features of the graph of \(y=\log_ax\) \((a>1)\) including asymptotes, and of its translations \(y=\log_ax+b\) and \(y=\log_a{(x+c)}\)

ACMMM156 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMSM042

find all solutions of \(\mathrm f\left(\mathrm a\left(\mathrm x-\mathrm b\right)\right)=\mathrm c\) where \(f\) is one of \(\sin\), \(\cos\) or \(\tan\)

ACMSM042 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACMSM043

graph functions with rules of the form \(\mathrm y=\mathrm f(\mathrm a\left(\mathrm x-\mathrm b\right))\) where \(f\) is one of \(\sin\), \(\cos\) or \(\tan\)

ACMSM043 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACMSM143

use \(\overline x\) and \(s\) to estimate \(\mu\) and \(\sigma\), to obtain approximate intervals covering desired proportions of values of a normal random variable and compare with an approximate confidence interval for \(\mu\)

ACMSM143 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACSCH130

Data from analytical techniques, including mass spectrometry, x-ray crystallography and infrared spectroscopy, can be used to determine the structure of organic molecules, often using evidence from more than one technique

ACSCH130 | Content Descriptions | Unit 4 | Chemistry | Science | Senior secondary curriculum

ACMSM138

simulate repeated random sampling, from a variety of distributions and a range of sample sizes, to illustrate properties of the distribution of \(\overline X\;\) across samples of a fixed size \(n\), including its mean \(\mu\), its standard deviation …

ACMSM138 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACMSM139

simulate repeated random sampling, from a variety of distributions and a range of sample sizes, to illustrate the approximate standard normality of \(\frac{\overline X-\mu}{s/\sqrt[{}]n}\) for large samples \(\left(n\geq30\right)\), where \(s\) is the …

ACMSM139 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum

Elaboration (2) ACLINC053

expressing preferences for plans (for example, ide bagus, saya setuju), comparing and contrasting alternatives (for example, Kalau kita ke restoran Jawa lebih murah, Saya pikir lebih baik kalau kita pergi pada hari Rabu karena…, Sebaiknya kita…) and agreeing …

Elaboration (2) | ACLINC053 | Content Descriptions | Years 7 and 8 | Years F–10 Sequence | Indonesian | Languages | F-10 curriculum

Elaboration (5) ACLINC053

participating in transactions and negotiations, such as to purchase food, clothing, souvenirs or transport (for example, Berapa harganya? Boleh tawar?), maintaining the interaction (for example, aduh, terlalu mahal, di toko lain lebih murah) and discussing …

Elaboration (5) | ACLINC053 | Content Descriptions | Years 7 and 8 | Years F–10 Sequence | Indonesian | Languages | F-10 curriculum

ACMMM149

determine and use the probabilities \(\mathrm P\left(\mathrm X=\mathrm r\right)=\begin{pmatrix}\mathrm n\\\mathrm r\end{pmatrix}\mathrm p^\mathrm r{(1-\mathrm p)}^{\mathrm n-\mathrm r}\) associated with the binomial distribution with parameters \(n\) …

ACMMM149 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

Elaboration (6) ACLINU047

describing character and qualities using adjectives, for example, menarik, bosan, enak, bodoh, pandai, rajin, nakal, mahal, murah, sakit, capai, segar

Elaboration (6) | ACLINU047 | Content Descriptions | Years 5 and 6 | Years F–10 Sequence | Indonesian | Languages | F-10 curriculum

Industry presentation - ABOVE

Students with a demonstrated commitment to industry-related pathways were in a class with a focus on learning about and through their knowledge and experience of one or more industries. They were required to prepare a presentation on changes in their …

Industry presentation - ABOVE | Samples | Work samples | Resources

Industry presentation - AT

Students with a demonstrated commitment to industry-related pathways were in a class with a focus on learning about and through their knowledge and experience of one or more industries. They were required to prepare a presentation on changes in their …

Industry presentation - AT | Samples | Work samples | Resources

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